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math.AP2012
Nonlinear Schrödinger problems: symmetries of some variational solutions
Christopher Grumiau
In this paper, we are interested in the nonlinear Schrödinger problem $-Δu + Vu = \abs{u}^{p-2}u$ submitted to the Dirichlet boundary conditions. We consider and we are worki…
math.AP2012★ 6 cited
Lane Emden problems with large exponents and singular Liouville equations
Massimo Grossi, Christopher Grumiau, Filomena Pacella
We consider the Lane-Emden Dirichlet problem -Δu = \abs{u}^{p-1}u, in B, u =0, on \partial B, where and denotes the unit ball in $\IR^2$. We study the asymptotic behavior…